本文提出了一种推广德布罗意物质波到相对论中去的新方法.写出了相对论德布罗意物质波的数学表达式，把相对 论德布罗意物质波成功地应用于Aharonov-Bohm 效应和计算氢原子能级的精细结构，计算结果与实验相符，与其他量子理论 计算结果一致.

A new approach is proposed for extending the De Broglie matter wave to relativistic formalism.The relativistic matter wave expression is obtained and applied successfully to explain the Aharonov-Bohm effect.The fine structure in the hydrogen energy levels is calculated，which is in well agreement with experiments and in accordance with the prediction of other quantum theories of the subjects considered.